12781367456 has 144 divisors (see below), whose sum is σ = 30751064064. Its totient is φ = 5189184000.

The previous prime is 12781367453. The next prime is 12781367479. The reversal of 12781367456 is 65476318721.

It is not an unprimeable number, because it can be changed into a prime (12781367453) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1556321 + ... + 1564511.

It is an arithmetic number, because the mean of its divisors is an integer number (213549056).

Almost surely, 2^12781367456 is an apocalyptic number.

12781367456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12781367456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15375532032).

12781367456 is an abundant number, since it is smaller than the sum of its proper divisors (17969696608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12781367456 is a wasteful number, since it uses less digits than its factorization.

12781367456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8267 (or 8248 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 50.

The spelling of 12781367456 in words is "twelve billion, seven hundred eighty-one million, three hundred sixty-seven thousand, four hundred fifty-six".